Almost Periodic Solutions of Differential Equations in Banach Spaces

Almost Periodic Solutions of Differential Equations in Banach Spaces
Author: Yoshiyuki Hino
Publisher: CRC Press
Total Pages: 276
Release: 2001-10-25
Genre: Mathematics
ISBN: 9780415272667
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This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.

Properties of Solutions of Ordinary Differential Equations in Banach Space

Properties of Solutions of Ordinary Differential Equations in Banach Space
Author: Shmuel Agmon
Publisher:
Total Pages: 0
Release: 1961
Genre: Banach spaces
ISBN:
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This analysis concerns the study of equations of the form Lu = 1 dui dt - Au = 0 for functions u(t) with values in some Banach space, as well as inhomogeneous equations Lu = f and ligh ly perturbed equations, with the main emphasis on the behavior of solutions a t + . Treated are equations for which the initial value probl (prescribing u at some value of t) is not necessarily well posed. Particularly consi ered are equations arising from partial differential equations in a cylinder (with t axis along the g nerator) which may be elliptic, and for which, therefore the initial value problem is indeed not well posed. The operator A then represents a partial differential operator in the variables in the base of the cylinder. (ut or).